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Decidabilite

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Preview of Type-1 and Type-0 Languages: Closure & Decidability
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Type-1 and Type-0 Languages: Closure & Decidability (theory-c08-handout.pdf)

189 KBGabriele RögerEN 19 pages
This document explores the contrast between Turing machines and grammars, focusing on closure properties and decidability in Type-1 and Type-0 languages within computer science theory.
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Preview of The Halting Problem's Decidability on a Set of Asymptotic Probability One
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The Halting Problem's Decidability on a Set of Asymptotic Probability One (1168352664.pdf)

167 KBEN 10 pages
In this 2006 issue of *Notre Dame Journal of Formal Logic*, Hamkins and Miasnikov prove that the halting problem for Turing machines is decidable with high probability, challenging traditional views of undecidability and highlighting the role of measure in computational models....
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Mathematical Properties of Linguistic Theories: Decidability, Capacity, and Recognition Complexity (P83-1015.pdf)

823 KBC. Raymond PerraultEN 8 pages
Despite significant work on formalisms, less emphasis has been placed on interpreting these mathematical properties in the context of linguistic theory.
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Preview of Context-Free Languages
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Context-Free Languages (theory-c06-handout.pdf)

232 KBGabriele RögerEN 29 pages
C6 covers context-free languages, including the pumping lemma, closure properties, decidability, and summary, with topics such as automata, formal languages,...
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Preview of Integrating Ontologies and Rules: An Overview with Focus on SWRL
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Integrating Ontologies and Rules: An Overview with Focus on SWRL (OntologyRules-BookChapter2009.pdf)

252 KBEN 21 pages
This paper explores the integration of Web Ontology Language OWL (a W3C-recommended Semantic Web language based on Description Logics) with rule-based systems, considering their respective strengths in knowledge representation and industrial applications.
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Preview of Defeasible Mappings
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Defeasible Mappings (2015-iswc-defmap.pdf)

344 KBEN 16 pages
Defeasible mappings for EL-based ontologies handle exceptions automatically, avoiding logical inconsistencies. This approach allows one-way links from multiple ontologies to an overarching ontology. Reasoning under this setting is decidable, even with unknowns.
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Preview of NP-Completeness: Proving and Understanding 3SAT via Cook-Levin Theorem
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NP-Completeness: Proving and Understanding 3SAT via Cook-Levin Theorem (theory-d03.pdf)

667 KBGabriele RögerEN 88 pages
The Theory of Computer Science explores NP-completeness through the lens of propositional logic and the Cook-Levin Theorem, demonstrating that 3SAT, a core problem in this domain, is NP-complete. This concept involves polynomial reductions between decision problems, where...
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